| MULTIPLIERS AND RELATIVE COMPLETION IN WEIGHTED LORENTZ SPACES |
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| 引用本文： | A.Turan Gǖrkanli. MULTIPLIERS AND RELATIVE COMPLETION IN WEIGHTED LORENTZ SPACES[J]. 数学物理学报(B辑英文版), 2003, 23(4): 467-476. DOI: 10.1016/S0252-9602(17)30490-3 |
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| 作者姓名： | A.Turan Gǖrkanli |
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| 作者单位： | Department of Mathematics，Faculty of Arts and Science，Ondokuz Mayis University，55139 Kurupelit Samsun，Turkey，Department of Mathematics，Faculty of Arts and Science，Ondokuz Mayis University，55139 Kurupelit Samsun，Turkey |
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| 摘 要： | Let G be a locally compact Abelian group with Haar measure μ. In the present paper, first the authors discussed some properties of weighted Lorentz space. Then they defined the relative completion A of a subspace A of the weighted Lorentz space, and showed that the space of the multipliers from L_w~1(G) to A is algebrically isomorphic and homeomorphic to A.
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| 收稿时间： | 2001-08-16 |
MULTIPLIERS AND RELATIVE COMPLETION IN WEIGHTED LORENTZ SPACES |
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| Cenap Duyar. MULTIPLIERS AND RELATIVE COMPLETION IN WEIGHTED LORENTZ SPACES[J]. Acta Mathematica Scientia, 2003, 23(4): 467-476. DOI: 10.1016/S0252-9602(17)30490-3 |
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| Authors: | Cenap Duyar |
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| Affiliation: | Department of Mathematics, Faculty of Arts and Science, Ondokuz Mayis University, 55139 Kurupelit Samsun, Turkey;Department of Mathematics, National and Kapodistrian University of Athens, Panepistimiopolis GR-15784 Athens, Greece |
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| Abstract: | Let G be a locally compact Abelian group with Haar measureμ. In the presentpaper, first the authors discussed some properties of weighted Lorentz space. Then theydefined the relative completion A of a subspace A of the weighted Lorentz space, andshowed that the space of the multipliers from L1w (G) to A is algebrically isomorphic andhomeomorphic to (A). |
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| Keywords: | Banach module weighted L~P(G) space Lorentz space weighted Lorentz space multiplier |
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